Trim off any extra fat on the oxtails. Rinse under running water. Place into a large stock pot filled with water and 1 tsp salt, make sure they are submerged. Soak for 1-2 hours.
Discard water used for soaking. Return oxtails to cooking pot, refill pot with 12-15 cups of water, broth, or half and half ensuring they are submerged. Bring to this to a low boil.
After 2 hours skim off any foam/fat at the surface. Add pepper, and minced garlic. Simmer 3 hours. Pot can be slightly covered if desired. 5 full hours of simmering on low will ensure that they with be very tender.
Remove and place on a cutting board. Remove meat and serve or put into a soup.